616580085616 has 80 divisors (see below), whose sum is σ = 1338248284128. Its totient is φ = 272826777600.

The previous prime is 616580085601. The next prime is 616580085619.

616580085616 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616580085619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745356 + ... + 1337428.

Almost surely, 2^616580085616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616580085616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669124142064).

616580085616 is an abundant number, since it is smaller than the sum of its proper divisors (721668198512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616580085616 is a wasteful number, since it uses less digits than its factorization.

616580085616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592250 (or 592244 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 616580085616 in words is "six hundred sixteen billion, five hundred eighty million, eighty-five thousand, six hundred sixteen".